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<div class="subTitle">org.apache.commons.math3.ode.nonstiff</div>
<h2 title="Class DormandPrince54FieldIntegrator" class="title">Class DormandPrince54FieldIntegrator&lt;T extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;T&gt;&gt;</h2>
</div>
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<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">org.apache.commons.math3.ode.AbstractFieldIntegrator</a>&lt;T&gt;</li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeFieldIntegrator</a>&lt;T&gt;</li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">org.apache.commons.math3.ode.nonstiff.EmbeddedRungeKuttaFieldIntegrator</a>&lt;T&gt;</li>
<li>
<ul class="inheritance">
<li>org.apache.commons.math3.ode.nonstiff.DormandPrince54FieldIntegrator&lt;T&gt;</li>
</ul>
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<div class="description">
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<dl><dt><span class="strong">Type Parameters:</span></dt><dd><code>T</code> - the type of the field elements</dd></dl>
<dl>
<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/ode/FirstOrderFieldIntegrator.html" title="interface in org.apache.commons.math3.ode">FirstOrderFieldIntegrator</a>&lt;T&gt;, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/FieldButcherArrayProvider.html" title="interface in org.apache.commons.math3.ode.nonstiff">FieldButcherArrayProvider</a>&lt;T&gt;</dd>
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<hr>
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<pre>public class <span class="strong">DormandPrince54FieldIntegrator&lt;T extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;T&gt;&gt;</span>
extends <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a>&lt;T&gt;</pre>
<div class="block">This class implements the 5(4) Dormand-Prince integrator for Ordinary
 Differential Equations.

 <p>This integrator is an embedded Runge-Kutta integrator
 of order 5(4) used in local extrapolation mode (i.e. the solution
 is computed using the high order formula) with stepsize control
 (and automatic step initialization) and continuous output. This
 method uses 7 functions evaluations per step. However, since this
 is an <i>fsal</i>, the last evaluation of one step is the same as
 the first evaluation of the next step and hence can be avoided. So
 the cost is really 6 functions evaluations per step.</p>

 <p>This method has been published (whithout the continuous output
 that was added by Shampine in 1986) in the following article :
 <pre>
  A family of embedded Runge-Kutta formulae
  J. R. Dormand and P. J. Prince
  Journal of Computational and Applied Mathematics
  volume 6, no 1, 1980, pp. 19-26
 </pre></p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.6</dd></dl>
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<!-- =========== FIELD SUMMARY =========== -->
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<h3>Field Summary</h3>
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<li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.ode.nonstiff.AdaptiveStepsizeFieldIntegrator">
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<h3>Fields inherited from class&nbsp;org.apache.commons.math3.ode.nonstiff.<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeFieldIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#mainSetDimension">mainSetDimension</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#scalAbsoluteTolerance">scalAbsoluteTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#scalRelativeTolerance">scalRelativeTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#vecAbsoluteTolerance">vecAbsoluteTolerance</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#vecRelativeTolerance">vecRelativeTolerance</a></code></li>
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<h3>Constructor Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
</tr>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#DormandPrince54FieldIntegrator(org.apache.commons.math3.Field,%20double,%20double,%20double[],%20double[])">DormandPrince54FieldIntegrator</a></strong>(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;field,
                              double&nbsp;minStep,
                              double&nbsp;maxStep,
                              double[]&nbsp;vecAbsoluteTolerance,
                              double[]&nbsp;vecRelativeTolerance)</code>
<div class="block">Simple constructor.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#DormandPrince54FieldIntegrator(org.apache.commons.math3.Field,%20double,%20double,%20double,%20double)">DormandPrince54FieldIntegrator</a></strong>(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;field,
                              double&nbsp;minStep,
                              double&nbsp;maxStep,
                              double&nbsp;scalAbsoluteTolerance,
                              double&nbsp;scalRelativeTolerance)</code>
<div class="block">Simple constructor.</div>
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<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code>protected org.apache.commons.math3.ode.nonstiff.DormandPrince54FieldStepInterpolator&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#createInterpolator(boolean,%20T[][],%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldEquationsMapper)">createInterpolator</a></strong>(boolean&nbsp;forward,
                  <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]&nbsp;yDotK,
                  <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;globalPreviousState,
                  <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;globalCurrentState,
                  <a href="../../../../../../org/apache/commons/math3/ode/FieldEquationsMapper.html" title="class in org.apache.commons.math3.ode">FieldEquationsMapper</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;mapper)</code>
<div class="block">Create an interpolator.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><code>protected <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#estimateError(T[][],%20T[],%20T[],%20T)">estimateError</a></strong>(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]&nbsp;yDotK,
             <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;y0,
             <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;y1,
             <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&nbsp;h)</code>
<div class="block">Compute the error ratio.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#getA()">getA</a></strong>()</code>
<div class="block">Get the internal weights from Butcher array (without the first empty row).</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#getB()">getB</a></strong>()</code>
<div class="block">Get the external weights for the high order method from Butcher array.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#getC()">getC</a></strong>()</code>
<div class="block">Get the time steps from Butcher array (without the first zero).</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html#getOrder()">getOrder</a></strong>()</code>
<div class="block">Get the order of the method.</div>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.ode.nonstiff.<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#fraction(double,%20double)">fraction</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#fraction(int,%20int)">fraction</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#getMaxGrowth()">getMaxGrowth</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#getMinReduction()">getMinReduction</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#getSafety()">getSafety</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#integrate(org.apache.commons.math3.ode.FieldExpandableODE,%20org.apache.commons.math3.ode.FieldODEState,%20T)">integrate</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#setMaxGrowth(T)">setMaxGrowth</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#setMinReduction(T)">setMinReduction</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#setSafety(T)">setSafety</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.ode.nonstiff.<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">AdaptiveStepsizeFieldIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#filterStep(T,%20boolean,%20boolean)">filterStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#getMaxStep()">getMaxStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#getMinStep()">getMinStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#initializeStep(boolean,%20int,%20T[],%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldEquationsMapper)">initializeStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#resetInternalState()">resetInternalState</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#sanityChecks(org.apache.commons.math3.ode.FieldODEState,%20T)">sanityChecks</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#setInitialStepSize(T)">setInitialStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#setStepSizeControl(double,%20double,%20double[],%20double[])">setStepSizeControl</a>, <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/AdaptiveStepsizeFieldIntegrator.html#setStepSizeControl(double,%20double,%20double,%20double)">setStepSizeControl</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.ode.<a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html" title="class in org.apache.commons.math3.ode">AbstractFieldIntegrator</a></h3>
<code><a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#acceptStep(org.apache.commons.math3.ode.sampling.AbstractFieldStepInterpolator,%20T)">acceptStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.FieldEventHandler,%20double,%20double,%20int)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addEventHandler(org.apache.commons.math3.ode.events.FieldEventHandler,%20double,%20double,%20int,%20org.apache.commons.math3.analysis.solvers.BracketedRealFieldUnivariateSolver)">addEventHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#addStepHandler(org.apache.commons.math3.ode.sampling.FieldStepHandler)">addStepHandler</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#clearEventHandlers()">clearEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#clearStepHandlers()">clearStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#computeDerivatives(T,%20T[])">computeDerivatives</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getCurrentSignedStepsize()">getCurrentSignedStepsize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getCurrentStepStart()">getCurrentStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEquations()">getEquations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEvaluations()">getEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEvaluationsCounter()">getEvaluationsCounter</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getEventHandlers()">getEventHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getField()">getField</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getMaxEvaluations()">getMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getName()">getName</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepHandlers()">getStepHandlers</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepSize()">getStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#getStepStart()">getStepStart</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#initIntegration(org.apache.commons.math3.ode.FieldExpandableODE,%20T,%20T[],%20T)">initIntegration</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#isLastStep()">isLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#resetOccurred()">resetOccurred</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setIsLastStep(boolean)">setIsLastStep</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setMaxEvaluations(int)">setMaxEvaluations</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStateInitialized(boolean)">setStateInitialized</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStepSize(T)">setStepSize</a>, <a href="../../../../../../org/apache/commons/math3/ode/AbstractFieldIntegrator.html#setStepStart(org.apache.commons.math3.ode.FieldODEStateAndDerivative)">setStepStart</a></code></li>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h4>DormandPrince54FieldIntegrator</h4>
<pre>public&nbsp;DormandPrince54FieldIntegrator(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;field,
                              double&nbsp;minStep,
                              double&nbsp;maxStep,
                              double&nbsp;scalAbsoluteTolerance,
                              double&nbsp;scalRelativeTolerance)</pre>
<div class="block">Simple constructor.
 Build a fifth order Dormand-Prince integrator with the given step bounds</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>field</code> - field to which the time and state vector elements belong</dd><dd><code>minStep</code> - minimal step (sign is irrelevant, regardless of
 integration direction, forward or backward), the last step can
 be smaller than this</dd><dd><code>maxStep</code> - maximal step (sign is irrelevant, regardless of
 integration direction, forward or backward), the last step can
 be smaller than this</dd><dd><code>scalAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>scalRelativeTolerance</code> - allowed relative error</dd></dl>
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<h4>DormandPrince54FieldIntegrator</h4>
<pre>public&nbsp;DormandPrince54FieldIntegrator(<a href="../../../../../../org/apache/commons/math3/Field.html" title="interface in org.apache.commons.math3">Field</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;field,
                              double&nbsp;minStep,
                              double&nbsp;maxStep,
                              double[]&nbsp;vecAbsoluteTolerance,
                              double[]&nbsp;vecRelativeTolerance)</pre>
<div class="block">Simple constructor.
 Build a fifth order Dormand-Prince integrator with the given step bounds</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>field</code> - field to which the time and state vector elements belong</dd><dd><code>minStep</code> - minimal step (sign is irrelevant, regardless of
 integration direction, forward or backward), the last step can
 be smaller than this</dd><dd><code>maxStep</code> - maximal step (sign is irrelevant, regardless of
 integration direction, forward or backward), the last step can
 be smaller than this</dd><dd><code>vecAbsoluteTolerance</code> - allowed absolute error</dd><dd><code>vecRelativeTolerance</code> - allowed relative error</dd></dl>
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<h4>getC</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;getC()</pre>
<div class="block">Get the time steps from Butcher array (without the first zero).</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>time steps from Butcher array (without the first zero</dd></dl>
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<h4>getA</h4>
<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]&nbsp;getA()</pre>
<div class="block">Get the internal weights from Butcher array (without the first empty row).</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>internal weights from Butcher array (without the first empty row)</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;getB()</pre>
<div class="block">Get the external weights for the high order method from Butcher array.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>external weights for the high order method from Butcher array</dd></dl>
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<a name="createInterpolator(boolean,org.apache.commons.math3.RealFieldElement[][],org.apache.commons.math3.ode.FieldODEStateAndDerivative,org.apache.commons.math3.ode.FieldODEStateAndDerivative,org.apache.commons.math3.ode.FieldEquationsMapper)">
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<h4>createInterpolator</h4>
<pre>protected&nbsp;org.apache.commons.math3.ode.nonstiff.DormandPrince54FieldStepInterpolator&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;createInterpolator(boolean&nbsp;forward,
                                                                                               <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]&nbsp;yDotK,
                                                                                               <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;globalPreviousState,
                                                                                               <a href="../../../../../../org/apache/commons/math3/ode/FieldODEStateAndDerivative.html" title="class in org.apache.commons.math3.ode">FieldODEStateAndDerivative</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;globalCurrentState,
                                                                                               <a href="../../../../../../org/apache/commons/math3/ode/FieldEquationsMapper.html" title="class in org.apache.commons.math3.ode">FieldEquationsMapper</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&nbsp;mapper)</pre>
<div class="block">Create an interpolator.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#createInterpolator(boolean,%20T[][],%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldODEStateAndDerivative,%20org.apache.commons.math3.ode.FieldEquationsMapper)">createInterpolator</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a> extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>forward</code> - integration direction indicator</dd><dd><code>yDotK</code> - slopes at the intermediate points</dd><dd><code>globalPreviousState</code> - start of the global step</dd><dd><code>globalCurrentState</code> - end of the global step</dd><dd><code>mapper</code> - equations mapper for the all equations</dd>
<dt><span class="strong">Returns:</span></dt><dd>external weights for the high order method from Butcher array</dd></dl>
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<pre>public&nbsp;int&nbsp;getOrder()</pre>
<div class="block">Get the order of the method.</div>
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<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#getOrder()">getOrder</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a> extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&gt;</code></dd>
<dt><span class="strong">Returns:</span></dt><dd>order of the method</dd></dl>
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<h4>estimateError</h4>
<pre>protected&nbsp;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&nbsp;estimateError(<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[][]&nbsp;yDotK,
              <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;y0,
              <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>[]&nbsp;y1,
              <a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&nbsp;h)</pre>
<div class="block">Compute the error ratio.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html#estimateError(T[][],%20T[],%20T[],%20T)">estimateError</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaFieldIntegrator.html" title="class in org.apache.commons.math3.ode.nonstiff">EmbeddedRungeKuttaFieldIntegrator</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a> extends <a href="../../../../../../org/apache/commons/math3/RealFieldElement.html" title="interface in org.apache.commons.math3">RealFieldElement</a>&lt;<a href="../../../../../../org/apache/commons/math3/ode/nonstiff/DormandPrince54FieldIntegrator.html" title="type parameter in DormandPrince54FieldIntegrator">T</a>&gt;&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>yDotK</code> - derivatives computed during the first stages</dd><dd><code>y0</code> - estimate of the step at the start of the step</dd><dd><code>y1</code> - estimate of the step at the end of the step</dd><dd><code>h</code> - current step</dd>
<dt><span class="strong">Returns:</span></dt><dd>error ratio, greater than 1 if step should be rejected</dd></dl>
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